Evaluate
\frac{3\sqrt{2}}{2}\approx 2.121320344
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\sqrt{2}+\frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}
Rationalize the denominator of \frac{1}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\sqrt{2}+\frac{\sqrt{2}}{2}
The square of \sqrt{2} is 2.
\frac{3}{2}\sqrt{2}
Combine \sqrt{2} and \frac{\sqrt{2}}{2} to get \frac{3}{2}\sqrt{2}.
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